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3 years ago

4 men or 12 boys can do a certain work in 36 days. How long will 6 men and 10 boys take to do it?

Mathematics

1 answer:

Aneli [31]3 years ago

6 0

Answer:

a week

Step-by-step explanation:

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Ivan used coordinate geometry to prove that quadrilateral EFGH is a square.

Gelneren [198K]

Answer:

(A)Segment EF, segment FG, segment GH, and segment EH are congruent

Step-by-step explanation:

Step 1

Quadrilateral EFGH with points E(-2,3), F(1,6), G(4,3), H(1,0)

Step 2

Using the distance formula

$Distance=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$

Given E(-2,3), F(1,6)

$|EF|=\sqrt{(6-3)^2+(1-(-2))^2}=\sqrt{3^2+3^2}=\sqrt{18}=3\sqrt{2}$

Given F(1,6), G(4,3)

$|FG|=\sqrt{(3-6)^2+(4-1)^2}=\sqrt{3^2+3^2}=\sqrt{18}=3\sqrt{2}$

Given G(4,3), H(1,0)

$|GH|=\sqrt{(0-3)^2+(1-4)^2}=\sqrt{(-3)^2+(-3)^2}=\sqrt{18}=3\sqrt{2}$

Given E (−2, 3), H (1, 0)

$|EH|=\sqrt{(0-3)^2+(1-(-2))^2}=\sqrt{(-3)^2+(3)^2}=\sqrt{18}=3\sqrt{2}$

Step 3

Segment EF ,E (−2, 3), F (1, 6)

Slope of |EF|= $\frac{6-3}{1+2} =\frac{3}{3}=1$

Segment GH, G (4, 3), H (1, 0)

Slope of |GH| $= \frac{0-3}{1-4} =\frac{-3}{-3}=1$

Step 4

Segment EH, E(−2, 3), H (1, 0)

Slope of |EH| $= \frac{0-3}{1+2} =\frac{-3}{3}=-1$

Segment FG, F (1, 6,) G (4, 3)

Slope of |EH| $=\frac{3-6}{4-1} =\frac{-3}{3}=-1$

Step 5

Segment EF and segment GH are perpendicular to segment FG.

The slope of segment EF and segment GH is 1. The slope of segment FG is −1.

Step 6

Segment EF, segment FG, segment GH, and segment EH are congruent.

The slope of segment FG and segment EH is −1. The slope of segment GH is 1.

Step 7

All sides are congruent, opposite sides are parallel, and adjacent sides are perpendicular. Quadrilateral EFGH is a square

4 0

3 years ago

Read 2 more answers

I need help finding m

Dafna1 [17]

Answer:

<A = 27 degrees

Step-by-step explanation:

Since this is a right triangle, we can use trig functions

Tan A = opp side / adj side

Tan A = 2/4

Tan A = 1/2

Taking the inverse tan of each side

tan^-1 ( tan A) = tan ^-1 (1/2)

A =26.56505118

Rounding to the nearest degree

A = 27

5 0

2 years ago

Japanese 22 pirate for every two pirate ships he manages

Drupady [299]

Answer:

He should sell them he would be rich.

Step-by-step explanation:

3 0

3 years ago

Circle D is centered at (-3, 3) with a radius of 5 and circle E is centered at (3,-3) with a radiu

bezimeni [28]

I think “c” is the correct answer. I am not sure

4 0

2 years ago

Write an equivalent expression? Explain your reasoning. (t+t+t) +7t-6/(t+t+t)+2t-3

kiruha [24]

Answer:

Step-by-step explanation:

Combine any like terms on each side of the equation: x-terms with x-terms and constants with constants. Arrange the terms in the same order, usually x-term before constants. If all of the terms in the two expressions are identical, then the two expressions are equivalent.

5 0

3 years ago

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